Generalized Trigonometric And Hyperbolic Functions

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    Generalized Trigonometric and Hyperbolic Functions
    By: Ronald E. Mickens
    Publisher:
    CRC Press
    Print ISBN: 9781138333017, 1138333018
    eText ISBN: 9780429821097, 0429821093
    Edition: 1st
    Copyright year: 2019
    Format: PDF
    Available from $ 23.18 USD
    SKU 9780429821097R90
    Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral representations for the inverse generalized sine functions, followed by the construction of the associated cosine functions, and from this, various properties of the generalized trigonometric functions are derived. However, the results contained in this book are based on the application of both geometrical phase space and dynamical systems methodologies. Features Clear, direct construction of a new set of generalized trigonometric and hyperbolic functions Presentation of why x2 y2 = 1, and related expressions, may be interpreted in three distinct ways All the constructions, proofs, and derivations can be readily followed and understood by students, researchers, and professionals in the natural and mathematical sciences
     

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